76011361140 has 192 divisors, whose sum is σ = 252470679552. Its totient is φ = 16844198400.

The previous prime is 76011361091. The next prime is 76011361157. The reversal of 76011361140 is 4116311067.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 76011361098 and 76011361107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 840735 + ... + 926745.

It is an arithmetic number, because the mean of its divisors is an integer number (1314951456).

Almost surely, 2^76011361140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76011361140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126235339776).

76011361140 is an abundant number, since it is smaller than the sum of its proper divisors (176459318412).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76011361140 is a wasteful number, since it uses less digits than its factorization.

76011361140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86150 (or 86148 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The spelling of 76011361140 in words is "seventy-six billion, eleven million, three hundred sixty-one thousand, one hundred forty".